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Finding the Fourth Proportional to 541.71, 812.97 and 310.71

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Solution

The fourth proportional to 541.71, 812.97 and 310.71 is: 466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.71 : 812.97 = 310.71 : x
  2. Step 2: Convert to fraction form
    541.71/812.97 = 310.71/x
  3. Step 3: Cross multiply
    541.71x = 812.97 × 310.71
  4. Step 4: Simplify right side
    541.71x = 252,597.91
  5. Step 5: Solve for x
    x = 252,597.91/541.71
  6. Step 6: Final answer
    x = 466.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.